The wave function for the Is state of an electron in the hydrogen atom is VIs(P) = e-p/ao where ao is the Bohr radius. The probability of finding the electron in a region W of R³ is equal to J, P(x, y, 2) dV where, in spherical coordinates, p(p) = |V1s(P)² Use integration in spherical coordinates to show that the probability of finding the electron at a distance greater than the Bohr radius is equal to 5/e = 0.677. (The Bohr radius is ao =5.3 x 10-1" m, but this value is not needed.)
The wave function for the Is state of an electron in the hydrogen atom is VIs(P) = e-p/ao where ao is the Bohr radius. The probability of finding the electron in a region W of R³ is equal to J, P(x, y, 2) dV where, in spherical coordinates, p(p) = |V1s(P)² Use integration in spherical coordinates to show that the probability of finding the electron at a distance greater than the Bohr radius is equal to 5/e = 0.677. (The Bohr radius is ao =5.3 x 10-1" m, but this value is not needed.)
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Transcribed Image Text:The wave function for the Is state of an electron in the hydrogen
atom is
VIs(P) =
e-p/ao
where ao is the Bohr radius. The probability of finding the electron in
a region W of R³ is equal to
J, P(x, y, 2) dV
where, in spherical coordinates,
p(p) = |V1s(P)²
Use integration in spherical coordinates to show that the probability of
finding the electron at a distance greater than the Bohr radius is equal to
5/e = 0.677. (The Bohr radius is ao =5.3 x 10-1" m, but this value
is not needed.)
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